Kevin Ren

activity

20232025

most citedWeighted refined decoupling estimates and application to Falconer distance set problem

1 citations · 2 across the 6 of their papers we have counts for

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math.CA2023★ 1 cited

Weighted refined decoupling estimates and application to Falconer distance set problem

Xiumin Du, Yumeng Ou, Kevin Ren +1

We prove some weighted refined decoupling estimates. As an application, we give an alternative proof of the following result on Falconer's distance set problem by the authors in a…

math.CA2023★ 1 cited

Discretized Radial Projections in $R^{d}$

Kevin Ren

We generalize a Furstenberg-type result of Orponen-Shmerkin to higher dimensions, leading to an $ε$ -improvement in Kaufman's projection theorem for hyperplanes and an unconditional…

math.CA2023

New improvement to Falconer distance set problem in higher dimensions

Xiumin Du, Yumeng Ou, Kevin Ren +1

We show that if a compact set $E \subset R^{d}$ has Hausdorff dimension larger than $\frac{d}{2} + \frac{1}{4} - \frac{1}{8 d + 4}$ , where $d \geq 3$ , then there is a point $x \in E$ …

Weighted refined decoupling estimates and application to Falconer distance set problem

Discretized Radial Projections in Rd

New improvement to Falconer distance set problem in higher dimensions

Discretized Radial Projections in $R^{d}$